   \documentclass[a4paper,10pt]{report}
   \usepackage[utf8]{inputenc}
   \setlength{\parindent}{0mm} 
   \usepackage{amsmath}
   \usepackage{graphicx}
   \title{Assignment 1 Solution}
   \author{}

   \begin{document}
   \maketitle

   Group 1: Jose Santiago Rodriguez, Akash Mittal, Bich Ngoc Vu\\

   \subsection*{Task 5}
   \begin{figure}[h]
      \centering
      \includegraphics[width = \textwidth]{./table.jpg}
      \caption{Residual and error variation with number of cycles for two different $h$}
   \end{figure}
   
   Running the code with a fix number of iterations, here 15, and varying mesh sizes gives the following errors:
   
   \begin{table}[h]
      \centering
      \begin{tabular}{|l|l|}
         \hline
         h & $L_2$ norm of error\\
         \hline
         1/8 & 2.53521e-16 \\
         1/16 & 5.42116e-16 \\
         1/32 &  7.74553e-16 \\
         1/64 &  1.7832e-15 \\
         1/128 & 3.8117e-15 \\
         1/256 & 1.24525e-14 \\
         \hline
      \end{tabular}
      %\caption{Error variation for different mesh sizes}
   \end{table}
   
   \newpage
   The mesh size $h$ is decreasing so that the grid gets finer. Therefore a higher number of iterations is required to reach a given error. Since
   the number of iterations here are constant, the error must increase with decreasing $h$, which can be confirmed by these measurements.
   \begin{figure}[h]
      \centering
      \includegraphics[width=\textwidth]{./error.png}
      \caption{Error variation for different mesh sizes}
   \end{figure}



   \end{document}          